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Finding the Third Proportional to 796,481 and 1,719,634

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Solution

The third proportional to 796,481 and 1,719,634 is: 3,712,757.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,481 : 1,719,634 = 1,719,634 : x
  2. Step 2: Convert to fraction form
    796,481/1,719,634 = 1,719,634/x
  3. Step 3: Cross multiply
    796,481x = 1,719,634 × 1,719,634
  4. Step 4: Simplify right side
    796,481x = 2,957,141,093,956
  5. Step 5: Solve for x
    x = 2,957,141,093,956/796,481
  6. Step 6: Final answer
    x = 3,712,757.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.